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Popular >

simplify ln(θx^{-θ-2})

Solution

simplify

ln (θ x^{- θ - 2})

Solution

ln (θ) + (- θ - 2) ln (x)

Solution steps

ln (θ x^{- θ - 2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (θ x^{- θ - 2}) = ln (θ) + ln (x^{- θ - 2})

= ln (θ) + ln (x^{- θ - 2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{- θ - 2}) = (- θ - 2) ln (x)

= ln (θ) + (- θ - 2) ln (x)

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Frequently Asked Questions (FAQ)

What is ln(θx^{-θ-2}) ?
The solution to ln(θx^{-θ-2}) is ln(θ)+(-θ-2)ln(x)